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Simplifying y = (x2 + -25)(x + 2i)(x + -2i) Reorder the terms: y = (-25 + x2)(x + 2i)(x + -2i) Reorder the terms: y = (-25 + x2)(2i + x)(x + -2i) Reorder the terms: y = (-25 + x2)(2i + x)(-2i + x) Multiply (-25 + x2) * (2i + x) y = (-25(2i + x) + x2(2i + x))(-2i + x) y = ((2i * -25 + x * -25) + x2(2i + x))(-2i + x) y = ((-50i + -25x) + x2(2i + x))(-2i + x) y = (-50i + -25x + (2i * x2 + x * x2))(-2i + x) y = (-50i + -25x + (2ix2 + x3))(-2i + x) Reorder the terms: y = (-50i + 2ix2 + -25x + x3)(-2i + x) y = (-50i + 2ix2 + -25x + x3)(-2i + x) Multiply (-50i + 2ix2 + -25x + x3) * (-2i + x) y = (-50i * (-2i + x) + 2ix2 * (-2i + x) + -25x * (-2i + x) + x3(-2i + x)) y = ((-2i * -50i + x * -50i) + 2ix2 * (-2i + x) + -25x * (-2i + x) + x3(-2i + x)) Reorder the terms: y = ((-50ix + 100i2) + 2ix2 * (-2i + x) + -25x * (-2i + x) + x3(-2i + x)) y = ((-50ix + 100i2) + 2ix2 * (-2i + x) + -25x * (-2i + x) + x3(-2i + x)) y = (-50ix + 100i2 + (-2i * 2ix2 + x * 2ix2) + -25x * (-2i + x) + x3(-2i + x)) Reorder the terms: y = (-50ix + 100i2 + (2ix3 + -4i2x2) + -25x * (-2i + x) + x3(-2i + x)) y = (-50ix + 100i2 + (2ix3 + -4i2x2) + -25x * (-2i + x) + x3(-2i + x)) y = (-50ix + 100i2 + 2ix3 + -4i2x2 + (-2i * -25x + x * -25x) + x3(-2i + x)) y = (-50ix + 100i2 + 2ix3 + -4i2x2 + (50ix + -25x2) + x3(-2i + x)) y = (-50ix + 100i2 + 2ix3 + -4i2x2 + 50ix + -25x2 + (-2i * x3 + x * x3)) y = (-50ix + 100i2 + 2ix3 + -4i2x2 + 50ix + -25x2 + (-2ix3 + x4)) Reorder the terms: y = (-50ix + 50ix + 2ix3 + -2ix3 + 100i2 + -4i2x2 + -25x2 + x4) Combine like terms: -50ix + 50ix = 0 y = (0 + 2ix3 + -2ix3 + 100i2 + -4i2x2 + -25x2 + x4) y = (2ix3 + -2ix3 + 100i2 + -4i2x2 + -25x2 + x4) Combine like terms: 2ix3 + -2ix3 = 0 y = (0 + 100i2 + -4i2x2 + -25x2 + x4) y = (100i2 + -4i2x2 + -25x2 + x4) Solving y = 100i2 + -4i2x2 + -25x2 + x4 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Simplifying y = 100i2 + -4i2x2 + -25x2 + x4
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